Trying to get XML getElementsByTagName + getAttribute call in loop to work

I have this overly complicated XML dump by Eatec, and sadly each menu has it's own special attribute for meals served at breakfast/lunch/dier. I'm trying to extract the items with their description and do a loop to show only recipe from breakfast, and so on for other menu periods.

Here's a sample slimmed down XML

<data>
  <menu name="location breakfast" servedate="20160626" location="food court 1" mealperiodname="Breakfast" >
    <recipes>
      <recipe id="5626935" category="HOT MORNING GRAINS" description="Oatmeal RD"> 
      </recipe>
      <recipe id="5371796" category="HOT MORNING GRAINS" description="Rice Brown RD">
      </recipe>   
    </recipes>
  </menu>
  <menu name="location lunch" servedate="20160626" location="food court 2" mealperiodname="Lunch">
     <recipes>
      <recipe id="4430587" category="SOUPS" description="Soup Tomato w/Garden Vegetables">
      </recipe>
      <recipe id="4210899" category="SOUPS" description="Soup Beef Barley w/Vegetables">
      </recipe>
    </recipes>
  </menu>
</data>

And I'm relatively new to PHP/XML, still trying to lea my rope here, here's what I came up with and yet not been able to keep the looped item within it's own meal period.

 <?php

    $menu = new DOMDocument();
    $breakfast = 'Breakfast';
    $lunch = 'Lunch';
    $menu->load("http://amphl.org/test.xml");

    // Get location name
    $menu_get = $menu->getElementsByTagName("menu");
    $location_name = $menu_get->item(0)->getAttribute("location");
    $menu_period = $menu_get->item(0)->getAttribute("name");

    // Get menus
    $recipes = $menu->getElementsByTagName("menu");
    $recipe_items = $menu->getElementsByTagName("recipe");

    // echo tests
    echo '<h3 class="location_date">'.$menu_period.'</h3>';
    echo '<h3 class="location_date">'.$location_name.'</h3>';  

    echo '<div class="meal_items">';
    // echo '<h3 class="food_name"> Breakfast </h3>';
        foreach( $recipes as $recipe )
        {
        // Get recipe name
            $recipe_type = $recipe->getAttribute("mealperiodname");  

            echo '<h3 class="location_date">'.$recipe_type.'</h3>'; 
            if ($recipe_type == $breakfast) {
                foreach( $recipe_items as $recipe_item )
                {
                    $recipe_name = $recipe_item->getAttribute("description"); 
                      echo '<p class="item_list"><a alt="" href="#">'.$recipe_name.'</a></p>';
                }

                }
            else if ($recipe_type == $lunch) {
                foreach( $recipe_items as $recipe_item )
                {
                    $recipe_name = $recipe_item->getAttribute("description"); 
                      echo '<p class="item_list"><a alt="" href="#">'.$recipe_name.'</a></p>';
                }

                }

  }
echo '</div>';

Instead of showing meals for breakfast and lunch in their own loop, it's loading every recipe regarding what meal period is. Am I making it too complicated ? that I got lost by my own code?